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3 years ago

Im a lil stuck on this :v

Mathematics

1 answer:

12345 [234]3 years ago

6 0

Answer:

C-----> x<-7

Step-by-step explanation:

first u do this to turn x in positive and consequently change the > to an <:

(-1).(-4x)>28.(-1)

so:

4x<-28

x<-7

# when multiplying each side by (-1), you have to change the symbol (>) to an (<), or (<) to an (>)

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△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt

Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

$Hypotenuse=2\sqrt{17}$

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

$Hypotenuse^2=Base^2+Perpendicualar^2$

△ABC is a right angle triangle and AC is hypotenuse, so

$(2\sqrt{17})^2=(x)^2+(x+6)^2$

$68=x^2+x^2+12x+36$ $[\because (a+b)^2=a^2+2ab+b^2]$

Subtract 68 from both sides.

$0=2x^2+12x+36-68$

$0=2x^2+12x-32$

$0=2(x^2+6x-16)$

Divide both sides by 2.

$x^2+6x-16=0$

Splitting the middle term, we get

$x^2+8x-2x-16=0$

$x(x+8)-2(x+8)=0$

$(x+8)(x-2)=0$

$x=-8,2$

Side cannot be negative, so x=2 only.

Now,

$AC=x+6$

$AC=2+6$

$AC=8$

Therefore, the length of AC is 8 units.

6 0

3 years ago

Which of the following expressions results in 0 when evaluated at x = 3?

Olenka [21]

Answer:

You need to provide the expressions you have to choose from.

Step-by-step explanation:

6 0

3 years ago

FASTEST GETS BRAINLIEST!

densk [106]

Not really well frased question. im guessing you mean the hypotonouse is 61 and the height is 11. you can use the pythagorean theorem by doing a squared plus b squared equals c squared. you know 2 variables, a and c. so you can do 11 squared plus b squared equals 61 squared. so 121 plus b squared equals 3721. then 3721-121 is 3600. the square root of 3600 is 60, giving 60 as the answer.

6 0

3 years ago

Three numerical expressions that are equivalent to (0.0004) x (0.005)

zzz [600]

Answer:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

$1 : 50000$

Step-by-step explanation:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

$1 : 50000$

4 0

3 years ago

Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.

____ [38]

Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b) f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

f(x+2)= x^2+4x+4+6x+12+2

I'll reorder it

f(x+2)= x^2+4x+6x+12+2+4

f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

f(-x)= x^2 -6x+2

6 0

2 years ago